-7(2x+6)=42

Solution for -7(2x+6)=42 equation:

Simplifying
-7(2x + 6) = 42

Reorder the terms:
-7(6 + 2x) = 42
(6 * -7 + 2x * -7) = 42
(-42 + -14x) = 42

Solving
-42 + -14x = 42

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '42' to each side of the equation.
-42 + 42 + -14x = 42 + 42

Combine like terms: -42 + 42 = 0
0 + -14x = 42 + 42
-14x = 42 + 42

Combine like terms: 42 + 42 = 84
-14x = 84

Divide each side by '-14'.
x = -6

Simplifying
x = -6